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Finding the Third Proportional to 29,088.14 and 44,477.86

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Solution

The third proportional to 29,088.14 and 44,477.86 is: 68,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,088.14 : 44,477.86 = 44,477.86 : x
  2. Step 2: Convert to fraction form
    29,088.14/44,477.86 = 44,477.86/x
  3. Step 3: Cross multiply
    29,088.14x = 44,477.86 × 44,477.86
  4. Step 4: Simplify right side
    29,088.14x = 1,978,279,974.58
  5. Step 5: Solve for x
    x = 1,978,279,974.58/29,088.14
  6. Step 6: Final answer
    x = 68,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.